Hopf bifurcation and dynamical transitions in a fractional-order FitzHugh-Rinzel model with multiple time delays
From MaRDI portal
Publication:6669785
DOI10.1016/J.CNSNS.2024.108471MaRDI QIDQ6669785
Ke He, Jian Song, Na Zhao, Shenquan Liu
Publication date: 22 January 2025
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Could not fetch data.
Could not fetch data.
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Geometric singular perturbation theory for ordinary differential equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Complex oscillatory patterns near singular Hopf bifurcation in a two-timescale ecosystem
- M-current induced Bogdanov-Takens bifurcation and switching of neuron excitability class
- Chaos, Hopf bifurcation and control of a fractional-order delay financial system
- Analysis of the onset of a regime shift and detecting early warning signs of major population changes in a two-trophic three-species predator-prey model with long-term transients
- Nested mixed-mode oscillations in a canard-generating driven Bonhoeffer-van der Pol oscillator
- Dynamic behavior of a fractional order prey-predator model with group defense
- Hidden dynamics in a fractional-order memristive Hindmarsh-Rose model
- Voltage interval mappings for activity transitions in neuron models for elliptic bursters
- Influence of multiple time delays on bifurcation of fractional-order neural networks
- Analysis of two- and three-dimensional fractional-order Hindmarsh-Rose type neuronal models
- Emergence of Canard induced mixed mode oscillations in a slow-fast dynamics of a biophysical excitable model
- New insight into bifurcation of fractional-order 4D neural networks incorporating two different time delays
- Mixed-mode bursting oscillations: dynamics created by a slow passage through spike-adding canard explosion in a square-wave burster
- Stability and Hopf bifurcation analysis in Hindmarsh-Rose neuron model with multiple time delays
- Mixed-Mode Oscillations with Multiple Time Scales
- Symmetry, Hopf bifurcation, and the emergence of cluster solutions in time delayed neural networks
- Matlab Code for Lyapunov Exponents of Fractional-Order Systems
- Subcritical Elliptic Bursting of Bautin Type
- Dynamics and bifurcations in multistable 3-cell neural networks
- Geometric Singular Perturbation Theory Beyond the Standard Form
- MATCONT
- NEURAL EXCITABILITY, SPIKING AND BURSTING
- Analysis of fractional differential equations
- Nested mixed-mode oscillations in the forced van der Pol oscillator
- Stability and bifurcation analyses of the FitzHugh-Rinzel model with time delay in a random network
- Bifurcation and geometric singular perturbation analysis of a multi-timescale pituitary model
- Spatiotemporal characteristics in systems of diffusively coupled excitable slow-fast FitzHugh-Rinzel dynamical neurons
- Hopf bifurcation of a fractional-order prey-predator-scavenger system with hunting delay and competition delay
- Bifurcation and chaos analysis of a fractional-order delay financial risk system using dynamic system approach and persistent homology
This page was built for publication: Hopf bifurcation and dynamical transitions in a fractional-order FitzHugh-Rinzel model with multiple time delays
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6669785)
